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On the Representability of Algorithmically Decidable Predicates by Rabin Machines

  • R. I. Friedzon
Part of the Seminars in Mathematics book series (SM, volume 4)

Abstract

We shall call the multitape Turing machines with input described in [1], Rabin machines. ‡ It is proved herein that no matter what the retardation function, an algorithmically decidable predicate π can be constructed such that for any natural number k the predicate π is not representable by any k-tape Rabin machine with this retardation. Moreover, a certain class of predicates representable in real time by Rabin machines is described.

Keywords

Natural Number Turing Machine Finite Automaton Constructive Mathematic Retardation Function 
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Literature Cited

  1. 1.
    Rabin, M. O., “Real-time computation,” Israel J. Math. 1(4):203–211 (1963).Google Scholar
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    Maslov, S. Yu., “Some properties of the apparatus of the canonical calculi of E. L. Post,” Trudy Steklov Mat. Inst. Akad. Nauk SSSR, 72:5–68 (1964).Google Scholar
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    Lukasiewicz, J., “Sur la formalisation des théories mathëmatiques,” Colloques Internationaux du Centre National de La Récherche Scientifique, Paris, 26:11–19 (1950).Google Scholar
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    Büchi, R. J., “Regular canonical systems,” Arch. math. Logik und Grundlagenforsch. 6:3–4 (1964).Google Scholar

Copyright information

© Consultants Bureau 1969

Authors and Affiliations

  • R. I. Friedzon

There are no affiliations available

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